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…or describe it by its bases, non-bases or lines

Any labeling of the ground set $\{1,\dots,n\}$ will do: we compute the canonical id. Sets are written as {1,2,3}, one per line, or, when $n \le 9$, as digit strings such as 123 145. Lines are the lines with at least three points of a simple rank-3 matroid. A revlex encoding is a string of * and 0.

84,161 matroids, showing 21,551–21,600

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.28002633122061✓all7?
3.12.28035183122061✓all7?
3.12.28059893122061✓all7?
3.12.28109243122061✓all7?
3.12.28127723122061✓all7?
3.12.28253113122081✓all7?
3.12.28342723122071✓all7?
3.12.28441733122071✓all7?
3.12.28441743122071✓all7?
3.12.28441793122061✓all7?
3.12.28442023122061✓all7?
3.12.28442153122051✓all7?
3.12.28442233122081✓all7?
3.12.28442283122081✓all7?
3.12.28442403122071✓all7?
3.12.28442423122071✓all7?
3.12.28442593122081✓all7?
3.12.28442743122071✓all7?
3.12.28444483122061✓all7?
3.12.28445043122061✓all7?
3.12.28446583122071✓all7?
3.12.28448833122061✓all7?
3.12.28453023122071✓all7?
3.12.28463423122091✓all7?
3.12.28467803122071✓all7?
3.12.28473843122081✓all7?
3.12.28489583122071✓all7?
3.12.28518703122061✓all7?
3.12.28565273122061✓all7?
3.12.28571283122061✓all7?
3.12.28601543122061✓all7?
3.12.28609303122041✓all7?
3.12.28681753122061✓all7?
3.12.28729823122071✓all7?
3.12.28730393122081✓all7?
3.12.28730403122081✓all7?
3.12.28730553122081✓all7?
3.12.28730583122071✓all7?
3.12.28730603122071✓all7?
3.12.28730803122071✓all7?
3.12.28730813122071✓all7?
3.12.28730993122071✓all7?
3.12.28731053122061✓all7?
3.12.28731323122061✓all7?
3.12.28732793122061✓all7?
3.12.28735513122061✓all7?
3.12.28739063122061✓all7?
3.12.28745513122071✓all7?
3.12.28750553122071✓all7?
3.12.28768243122061✓all7?

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